The cubic case of the main conjecture in Vinogradov's mean value ...
[9] T. D. Wooley, Vinogradov's mean value theorem via efficient congruencing, Annals of. Math. (2) 175 (2012), no. 3, 1575?1627. [10] T. D. Wooley ...
Proof of the main conjecture in Vinogradov's Mean Value Theorem ...It is usual to prove that a function with a positive derivative is increasing by using the mean value theorem. Here we shall reverse the procedure. From a ... 1134 THE VINOGRADOV MEAN VALUE THEOREM [after Wooley ...We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three. This will be a consequence of a sharp decoupling. A special case of Vinogradov's mean value theorem - Biblioteka NaukiHistorically, any nontrivial result toward the Main Conjecture has been called the. Vinogradov Mean Value Theorem. Instead, we will refer to partial results as ...
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